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Finding the Fourth Proportional to 382,909.76, 528,465.03 and 219,629.96

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Solution

The fourth proportional to 382,909.76, 528,465.03 and 219,629.96 is: 303,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,909.76 : 528,465.03 = 219,629.96 : x
  2. Step 2: Convert to fraction form
    382,909.76/528,465.03 = 219,629.96/x
  3. Step 3: Cross multiply
    382,909.76x = 528,465.03 × 219,629.96
  4. Step 4: Simplify right side
    382,909.76x = 116,066,753,400.30
  5. Step 5: Solve for x
    x = 116,066,753,400.30/382,909.76
  6. Step 6: Final answer
    x = 303,117.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.